Deformations and stresses in annular disks made of functionally graded materials subjected to internal and/or external pressure

被引：25
|
作者：
You, L. H. [1 ,2 ]
Wang, J. X. [2 ]
Tang, B. P. [2 ]
机构：
[1] Bournemouth Univ, NCCA, Poole BH12 5BB, Dorset, England
[2] Chongqing Univ, State Key Lab Mech Transmiss, Chongqing 400044, Peoples R China
来源：
MECCANICA | 2009年 / 44卷 / 03期
关键词：
Circular disks; Functionally graded materials; Internal and/or external pressure; Elastic analytical solution; ROTATING SOLID DISK; ELASTIC-PLASTIC STRESSES; VARIABLE THICKNESS; DENSITY;
D O I：
10.1007/s11012-008-9174-y
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, an analytical solution is developed to determine deformations and stresses in circular disks made of functionally graded materials subjected to internal and/or external pressure. Taking mechanical properties of the materials of circular disks to be linear variations, the governing equation is derived from basic equations of axisymmetric, plane stress problems in elasticity. By transforming the governing equation into a hypergeometric equation, an accurate analytical solution of deformations and stresses in circular disks is obtained. The comparison with the numerical solution indicates that both approaches give very agreeable results, indicating correctness of the proposed analytical solution. The obtained analytical solution is employed to determine the radial displacement and stresses in circular disks subjected to external pressure, internal pressure, and internal and external pressure, respectively. How the radius ratio of circular disks affects deformations and stresses is also investigated.
引用
收藏
页码：283 / 292
页数：10
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